The temperaments listed are 34edo-distinct, meaning that they are all different even if tuned in 34edo. The ordering is by increasing complexity of 5. The temperament of lowest TE complexity supported by the patent val was chosen as the representative for each class of edo-distinctness.

5-limit temperaments

Period generator	Wedgie	Name	Complexity	Commas
34 11	<<8 1 -17]]	Würschmidt	3.958	393216/390625
17 6	<<18 -2 -45]]		9.648	35184372088832/34332275390625
34 15	<<10 -3 -28]]	Mabila	5.755	268435456/263671875
17 3	<<2 -4 -11]]	Srutal	2.121	2048/2025
34 9	<<6 5 -6]]	Hanson	2.685	15625/15552
17 2	<<14 6 -23]]	Vishnu	6.423	6115295232/6103515625
34 13	<<12 -7 -39]]		7.718	549755813888/533935546875
17 7	<<30 8 -57]]		14.26	945539748965690376192/931322574615478515625
34 5	<<4 9 5]]	Tetracot	2.783	20000/19683
17 8	<<22 24 -13]]		10.198	2384185791015625/2313662762852352
34 1	<<14 23 4]]		7.688	97656250000/94143178827
17 1	<<6 22 21]]		6.749	32768000000/31381059609
34 7	<<2 13 16]]	Immunity	4.157	1638400/1594323
17 4	<<10 14 -1]]	Fifive	5.041	9765625/9565938
34 3	<<16 19 -7]]		7.583	152587890625/148769467776
17 5	<<26 16 -35]]	Quatracot	11.648	1490116119384765625/1479074071160291328
2 1	<<0 17 27]]		5.984	134217728/129140163

7-limit temperaments

Period generator	Wedgie	Name	Complexity	Commas
34 11	<<8 1 21 -17 11 46]]		5.146	875/864 6272/6075
17 6	<<16 2 8 -34 -32 13]]		6.478	49/48 393216/390625
34 15	<<10 -3 5 -28 -20 20]]		4.693	49/48 28672/28125
17 3	<<2 -4 -16 -11 -31 -26]]	Diaschismic	4.290	126/125 2048/2025
34 9	<<6 5 3 -6 -12 -7]]	Keemun	2.280	49/48 126/125
17 2	<<14 6 24 -23 -1 39]]		6.227	875/864 19208/18225
34 13	<<12 27 23 15 3 -22]]		6.930	1029/1000 6860/6561
17 7	<<4 -8 2 -22 -8 27]]		3.533	49/48 2048/2025
34 5	<<4 9 19 5 19 19]]		3.995	126/125 2240/2187
17 8	<<22 24 28 -13 -17 -2]]		8.428	126/125 4117715/3779136
34 1	<<14 23 7 4 -28 -48]]		6.799	49/48 546875/531441
17 1	<<6 22 20 21 15 -15]]		5.832	1029/1000 2240/2187
34 7	<<2 13 1 16 -4 -34]]		3.651	49/48 2240/2187
17 4	<<10 14 22 -1 7 12]]		4.891	126/125 6860/6561
34 3	<<16 19 25 -7 -5 5]]		6.502	126/125 84035/78732
17 5	<<8 18 4 10 -16 -41]]		4.958	49/48 20000/19683
2 1	<<0 17 17 27 27 -8]]		5.514	1029/1000 5120/5103